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Arcs and Central Angles

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Presentation on theme: "Arcs and Central Angles"— Presentation transcript:

1 Arcs and Central Angles
Geometry Arcs and Central Angles November 11, 2018

2 Symbols Circle Arc November 11, 2018

3 Goals Identify arcs & central angles in circles
Compute arc measures and angle measures November 11, 2018

4 Central Angle An angle whose vertex is the center of a circle. A
November 11, 2018

5 Minor Arc Part of a circle. The measure of the central angle is less than 180. C T A November 11, 2018

6 Semicircle Half of a circle. The endpoints of the arc are the endpoints of a diameter. The central angle measures 180. C A T D November 11, 2018

7 Major Arc Part of a circle. The measure of the central angle is greater than 180. C T A D November 11, 2018

8 Major Arc C BUT NOT T A D November 11, 2018

9 Measuring Arcs An arc has the same measure as the central angle.
We say, “a central angle subtends an arc of equal measure”. A 42 42 B C November 11, 2018

10 Measuring Major Arcs The measure of an major arc is given by 360  measure of minor arc. 42 A B C D November 11, 2018

11 Arc Addition Postulate
November 11, 2018

12 What have you learned so far?
1) 2) 3) 4) 5) 6) P Q R S T 120 60 40 November 11, 2018

13 Homework November 11, 2018

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